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Simplifying 2x + 5(4x + -7) = 18x + -42 Reorder the terms: 2x + 5(-7 + 4x) = 18x + -42 2x + (-7 * 5 + 4x * 5) = 18x + -42 2x + (-35 + 20x) = 18x + -42 Reorder the terms: -35 + 2x + 20x = 18x + -42 Combine like terms: 2x + 20x = 22x -35 + 22x = 18x + -42 Reorder the terms: -35 + 22x = -42 + 18x Solving -35 + 22x = -42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -35 + 22x + -18x = -42 + 18x + -18x Combine like terms: 22x + -18x = 4x -35 + 4x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 -35 + 4x = -42 + 0 -35 + 4x = -42 Add '35' to each side of the equation. -35 + 35 + 4x = -42 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = -42 + 35 4x = -42 + 35 Combine like terms: -42 + 35 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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